Each Angle of a Rectangle Is 90

Q.

If $x$ is greater than $y$ by one-third of a right angle. Find $x$ and $y$

Q.

Which of the following quadrilaterals have diagonals of unequal length?

i) Rhombus

ii) Rectangle

iii) Square

iv) Kite

v) Parallelogram

1. i, ii, iii

2. ii, iii

3. i, iv, v

4. ii, iii, iv

Q. $\text{If one angle of parallelogram is}{90}^{\circ },\text{then all the other angles are equal to}$.

1. ${90}^{\circ }$
2. ${180}^{\circ }$
3. ${45}^{\circ }$

Q. If the diagonals of a parallelogram are equal and don't intersect at right angles, then it is called a.

1. rhombus
2. rectangle
3. kite
4. Square

Q. The angles in a rectangle are given by $(x+30{)}^{\circ }$ and $(y+50{)}^{\circ }$ respectively. What other information is required to find the value of $x+y$ ?

1. We need the value of $x$ so that we can find one angle and then find $y$ using the value of $x$
2. We need the value of $y$ so that we can find one angle and then find $x$ using the value of $y$
3. No extra information is necessary and $x+y={90}^{\circ }$
4. No extra information is necessary and $x+y={100}^{\circ }$

Q. In the following figure ABCD and PQRS are parallelograms. Find the measure of x in degrees.

1. 50

Q. $\text{If one angle of parallelogram is}{90}^{\circ },\text{then all the other angles are equal to}$.

1. ${45}^{\circ }$
2. ${180}^{\circ }$
3. ${90}^{\circ }$

Q. $\text{If one angle of parallelogram is}{90}^{\circ },\text{then all the other angles are equal to}$.

1. ${90}^{\circ }$
2. ${180}^{\circ }$
3. ${45}^{\circ }$

Q. $\text{If one angle of parallelogram is}{90}^{\circ },\text{then all the other angles are equal to}$.

1. ${90}^{\circ }$
2. ${180}^{\circ }$
3. ${45}^{\circ }$

Q. $\text{If one angle of parallelogram is}{90}^{\circ },\text{then all the other angles are equal to}$.

1. ${90}^{\circ }$
2. ${180}^{\circ }$
3. ${45}^{\circ }$

Q. Fill in the blanks :
a) A quadrilateral whose all the sides, diagonals and angles are equal is _____.
b) Diagonals of a rectangle ___________.
c) Diagonals of a rhombus ___________.
d) Both the diagonals of a rhombus are ______ in length.
​e) The diagonals of a parallelogram __________
f) The diagonals of a square ___________.
g) The opposite sides and angles of a rectangle are _________.
h) The net of a triangular pyramid has _____ triangles

Q.

If opposite angles of a parallelogram are supplementary, then the parallelogram is _____ .

1. Rectangle
2. Rhombus
3. Trapezium
4. None of the above

Q. In the following figure ABCD and PQRS are parallelograms. Find the measure of x in degrees.

1. 50

Q. In a rectangle, all the four angles are equal and each angle measures .

1. ${90}^{\circ }$
2. ${180}^{\circ }$
3. ${360}^{\circ }$